Cover Image

Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Borsoni, Thomas, Lods, Bertrand
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Extending Cercignani's conjecture results from Botzmann to Boltzmann-Fermi-Dirac equation
by: Borsoni, Thomas
Published: (2023)

Shock profiles for the non-cutoff Boltzmann equation with hard potentials
by: Wynter, Dominic
Published: (2024)

Non-cutoff Boltzmann equation with soft potentials in the whole space
by: Carrapatoso, Kleber, et al.
Published: (2022)

Observability inequality for the von Neumann equation in crystals
by: Borsoni, Thomas, et al.
Published: (2025)

A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes
by: Borsoni, Thomas, et al.
Published: (2025)

Homoenergetic solutions for the Rayleigh-Boltzmann equation: existence of a stationary non-equilibrium solution
by: Miele, Nicola, et al.
Published: (2025)

Rate of convergence of the Kac particle system for the Boltzmann equation with hard potentials
by: Liu, Chenguang, et al.
Published: (2024)

Conditional integrability and stability for the homogeneous Boltzmann equation with very soft potentials
by: Alonso, Ricardo J., et al.
Published: (2024)

Global renormalized solutions for hard potential non-cutoff Boltzmann equation without defect measure
by: Luo, Yi-Long, et al.
Published: (2026)

Time-asymptotic stability of generic Riemann solutions for Boltzmann equation
by: Wang, Yi, et al.
Published: (2025)

On the Fermi-Dirac-type Fisher information
by: Zhu, Yuzhe
Published: (2025)

Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials
by: Chen, Jun-Ling, et al.
Published: (2023)

Global mild solution with polynomial tail for the Boltzmann equation in the whole space
by: Duan, Renjun, et al.
Published: (2022)

Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation
by: Wang, Yi, et al.
Published: (2024)

On the derivation of the linear Boltzmann equation from the nonideal Rayleigh gas
by: Fougères, Florent Thomas
Published: (2024)

Dynamics of point-vortex type systems near thermal equilibrium: relaxation or not?
by: Duerinckx, Mitia, et al.
Published: (2024)

One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar $L^{1}$-profiles for moderately hard potentials
by: Alonso, R., et al.
Published: (2024)

Convergence rate to equilibrium for conservative scattering models on the torus: a new tauberian approach
by: Lods, Bertrand, et al.
Published: (2022)

Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)
by: Bodineau, Thierry, et al.
Published: (2026)

On the monotonicity of the Fisher information for the Boltzmann equation
by: Imbert, Cyril, et al.
Published: (2024)

Hydrodynamic limits for kinetic equations preserving mass, momentum and energy: a spectral and unified approach in the presence of a spectral gap
by: Gervais, Pierre, et al.
Published: (2023)

Moment estimates for polyatomic Boltzmann equation with frozen collisions
by: Alonso, Ricardo, et al.
Published: (2025)

Global stability of the inhomogeneous sheared Boltzmann equation in torus
by: Duan, Renjun, et al.
Published: (2025)

Some remarks about the Link between the Fisher information and Landau or Landau-Fermi-Dirac entropy dissipation
by: Desvillettes, Laurent
Published: (2024)

Self-similar profiles for homoenergetic solutions of the Boltzmann equation for non-cutoff Maxwell molecules
by: Kepka, Bernhard
Published: (2021)

Local well-posedness for the periodic Boltzmann equation with constant collision kernel
by: Başakoğlu, Engin, et al.
Published: (2024)

Three-dimensional time-periodic problem on the Boltzmann equation with external force
by: Duan, Renjun, et al.
Published: (2026)

Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel
by: Chen, Xuwen, et al.
Published: (2022)

Existence and nonrelativistic limit of ground states to nonlinear Dirac equation
by: Chen, Pan, et al.
Published: (2025)

Quantitative Landis-type result for Dirac operators
by: Das, Ujjal, et al.
Published: (2026)

The global attractor of the inelastic linear Boltzmann equation in a gravity field for Maxwell molecules
by: Dolmaire, Théophile, et al.
Published: (2025)

Dispersive and Strichartz estimates for Dirac equation in a cosmic string spacetime
by: D'Ancona, Piero, et al.
Published: (2025)

Stochastic interpretations of the oceanic primitive equations with relaxed hydrostatic assumptions
by: Debussche, Arnaud, et al.
Published: (2025)

Existence and uniqueness of solutions to Liouville equation
by: Ataei, Alireza
Published: (2025)

Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime
by: Chong, Jacky, et al.
Published: (2024)

Folded optimal transport and its application to separable quantum optimal transport
by: Borsoni, Thomas
Published: (2025)

Orthonormal Strichartz estimate for dispersive equations with potentials
by: Hoshiya, Akitoshi
Published: (2024)

Self-similar imploding solutions of the relativistic Euler equations
by: Shao, Feng, et al.
Published: (2024)

Wave front set of solutions to the fractional Schrödinger equation
by: Kanai, Takumi, et al.
Published: (2026)

Point interactions and singular solutions to semilinear elliptic equations
by: Boni, Filippo, et al.
Published: (2026)